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LCM of 427, 721, 437, 713

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 427, 721, 437, 713 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 427, 721, 437, 713. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 427,721,437,713

Given numbers are 427,721,437,713

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 427,721,437,713 is 595810607.

Find LCM of 427,721,437,713 with Prime Factorization


7 427, 721, 437, 713
23 61, 103, 437, 713
61, 103, 19, 31

Multiply the prime numbers at the bottom and the left side.

7 x 23 x 61 x 103 x 19 x 31 = 595810607

Therefore, the lowest common multiple of 427,721,437,713 is 595810607.

LCM Formula to Find Lowest Common Multiple of 427,721,437,713

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

427 x 721 x 437 x 713 = 95925507727

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

427 : 1, 7, 61, 427

721 : 1, 7, 103, 721

437 : 1, 19, 23, 437

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,721,437,713, is 1.

Now, the common factors can be found like this.

427:7x 61

721:7x 103

437:19x 23

713:23x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

7x 23 = 161

Therefore, the value for common factors is 161.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 95925507727/(1x161)

LCM = 95925507727/161

LCM = 595810607

Thus, we can understand that the LCM of 427,721,437,713 is 595810607.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 427, 721, 437, 713

1. What is the LCM of 427, 721, 437, 713?

Answer: LCM of 427, 721, 437, 713 is 595810607.

2. How to calculate the LCM of 427, 721, 437, 713?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 427, 721, 437, 713.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.